Complete solving of explicit evaluation of Gauss sums in the index 2 case

• 出 处: 中国科学：数学英文版
• 发表日期: 2010年9期
• 关键词: GAUSS SUM Stickelberger’s THEOREM Stickelberger CONGRUENCE Davenport-Hasse LIFTI
• 基金项目: supported by National Natural Science Foundation of China (Grant No.10990011),the PhD Programs Foundation of Ministry of Education of China (Grant No. 20090002120013)

Let p be a prime number,N be a positive integer such that gcd(N,p) = 1,q = pf where f is the multiplicative order of p modulo N.Let χ be a primitive multiplicative character of order N over finite field Fq.This paper studies the problem of explicit evalua